The book discusses the psychology of mathematicians, and gives examples of famous proofs and outstanding problems.

Other topics include mathematics in education and some of the math that occurs in computer science.

[1][a] It is cited by some mathematicians as influential in their decision to continue their studies in graduate school; and has been hailed as a classic of mathematical literature.

[2] On the other hand, Martin Gardner disagreed with some of the authors' philosophical opinions.

[3] A new edition, published in 1995, includes exercises and problems, making the book more suitable for classrooms.